You think a U.S. military base isn’t getting kicked the fuck out of a foreign country the moment they are declared an enemy?

No, or rather I don’t think many countries would immediately be willing declare them an enemy. Europe shies away from armed conflict and quick, decisive actions unfortunately aren’t our strong suit either. I’d fully expect a drawn out political shitshow before anything actually happens.

Or do you have such a little opinion of everyone else that you think a couple of military bases will immediately take over every European county at once?

Take over? No. But I do think they’d be a deterrence factor, especially considering they also carry nukes.